One of those is Wilfried Zaha, who Arsenal have already had a number of bids rejected for by Crystal Palace.
Now Everton are in the mix and according to the Daily Telegraph are preparing an offer of £60million plus Cenk Tosun for the winger.
Arsenal will have to match that kind of proposal to win the race for the Ivorian and they’re confident of doing so.
Kieran Tierney is another deal Emirates Stadium chiefs believe they can get over the line.
Arsenal believe they will complete three transfer deals before the window shuts (Image: GETTY)
Arsenal are hopeful they can beat Everton to the signing of Wilfried Zaha (Image: GETTY)
Arsenal have had two bids turned down by Celtic for Tierney (Image: GETTY)
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William Saliba reveals Guendouzi encouraged Arsenal move
Like Zaha, Arsenal have already had two bids rejected for the left-back.
Celtic are believed to be unhappy with the structure of the offer and they do not feel like they have to sell him this summer unless their valuation is matched.
The Scottish Premiership champions have already signed Rapid Vienna left-back Boli Bolingoli-Mbombo as a potential replacement for Tierney.
Boss Neil Lennon is getting tired of talk that the player will not be playing for him next season.
"There's a lot of speculation obviously and that's going to rumble on. I’ve been answering the same questions over and over in every press conference,” he said.
Arsenal clinched the signing of Dani Ceballos and William Saliba on Thursday (Image: GETTY)
Arsenal clinched the signing of Dani Ceballos and William Saliba on Thursday (Image: GETTY)
"It is as we were a week ago. Two bids have been in, two bids have been rejected and that's where we are.
"How confident am I he'll still be a Celtic player come the end of the window? Well, you can never say never.
"You can't predict these things. If there is interest in him then other clubs may come in or Arsenal may come again. I can't predict that.
"At the minute he's working away in the background and it's difficult for him to keep focused at the minute because he's only human but we're supporting him all we can."